On the calculation of available potential energy in internal wave fields

Journal of Physical Oceanography

Volumn 40, Issue 11, 2010, Pages 2539-2545

  Kang, Dujuan ^a   Fringer, Oliver ^a  

^a Stanford University   (United States)

Author keywords

Energy transport; Internal waves; Mixing; Numerical analysis modeling; Wave properties

Indexed keywords

COMPUTATIONAL ERROR; DENSITY FIELDS; ENERGY CONSERVATION LAW; ENERGY TRANSPORT; FLOW NON-LINEARITY; GRAPHICAL INTERPRETATIONS; INTERNAL WAVES; LARGE DISPARITY; NONHYDROSTATIC EFFECT; NONLINEAR INTERNAL WAVE; NUMERICAL ANALYSIS/MODELING; NUMERICAL SIMULATION; WAVE PROPERTIES;

ELECTRON ENERGY LOSS SPECTROSCOPY; ENERGY CONSERVATION; KINETIC ENERGY; PHYSICAL PROPERTIES; POTENTIAL ENERGY;

ERRORS;

INTERNAL WAVE; MIXING; NUMERICAL MODEL; POTENTIAL ENERGY; WAVE FIELD; WAVE PROPERTY;

EID: 78650204748     PISSN: 00223670     EISSN: None     Source Type: Journal    
DOI: 10.1175/2010JPO4497.1     Document Type: Article

References (21)

1. 2 barotropic-to-baroclinic tidal conversion at the Hawaiian islands. J. Phys. Oceanogr., 38, 2205-2223.
2. Fringer, O. B., M. Gerritsen, and R. L. Street, 2006: An unstructuredgrid, finite-volume, nonhydrostatic, parallel coastal ocean simulator. Ocean Modell., 14, 139-173.
3. Gill, A. E., 1982: Atmosphere-Ocean Dynamics. Academic Press, 662 pp.
4. Holliday, D., and M. E. McIntyre, 1981: On potential energy density in an incompressible, stratified fluid. J. Fluid Mech., 107, 221-225.
5. Huang, R. X., 1998: Mixing and available potential energy in a Boussinesq ocean. J. Phys. Oceanogr., 28, 669-678.
6. Klymak, J. M., and J. N. Moum, 2003: Internal solitary waves of elevation advancing on a shoaling shelf. Geophys. Res. Lett., 30, 2045, doi:10.1029/2003GL017706.
7. Klymak, J. M., R. Pinkel, C.-T. Liu, A. K. Liu, and L. David, 2006: Prototypical solitons in the south china sea. Geophys. Res. Lett., 33, L11607, doi:10.1029/2006GL025932.
8. Kundu, P. K., 1990: Fluid Mechanics. Academic Press, 638 pp.
9. Kunze, E., L. K. Rosenfeld, G. S. Carter, and M. C. Gregg, 2002: Internal waves in Monterey submarine canyon. J. Phys. Oceanogr., 32, 1890-1913.
10. Lamb, K. G., 2007: Energy and pseudoenergy flux in the internal wave field generated by tidal flow over topography. Cont. Shelf Res., 27, 1208-1232.
11. Lamb, K. G., 2008: On the calculation of the available potential energy of an isolated perturbation in a density-stratified fluid. J. Fluid Mech., 597, 415-427.
12. Lamb, K. G., and V. T. Nguyen, 2009: Calculating energy flux in internal solitary waves with an application to reflectance. J. Phys. Oceanogr., 39, 559-580.
13. Lorenz, E. N., 1955: Available potential energy and the maintenance of the general circulation. Tellus, 7, 157-167.
14. Merrifield, M. A., and P. E. Holloway, 2002: Model estimates of M2 internal tide energetics at the Hawaiian ridge. J. Geophys. Res., 107, 3179, doi:10.1029/2001JC000996.
15. Molemaker, M. J., and J. C. McWilliams, 2010: Local balance and cross-scale flux of available potential energy. J. Fluid Mech., 645, 295-314.
16. Moum, J. N., J. M. Klymak, J. D. Nash, A. Perlin, and W. D. Smyth, 2007: Energy transport by nonlinear internal waves. J. Phys. Oceanogr., 37, 1968-1988.
17. Nash, J. D., M. H. Alford, and E. Kunze, 2005: Estimating internal wave energy fluxes in the ocean. J. Atmos. Oceanic Technol., 22, 1551-1570.
18. Scotti, A., R. Beardsley, and B. Butman, 2006: On the interpretation of energy and energy fluxes of nonlinear internal waves: An example from Massachusetts Bay. J. Fluid Mech., 561, 103-112.
19. Shepherd, T., 1993: A unified theory of available potential energy. Atmos.-Ocean, 31, 1-26.
20. Venayagamoorthy, S. K., and O. B. Fringer, 2005: Nonhydrostatic and nonlinear contributions to the energy flux budget in nonlinear internal waves. Geophys. Res. Lett., 32, L15603, doi:10.1029/2005GL023432.
21. Winters, K. B., P. N. Lombard, J. J. Riley, and E. A. DAsaro, 1995: Available potential energy and mixing in stratified fluids. J. Fluid Mech., 289, 115-128.